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Finding the Fourth Proportional to 80.25, 119.84 and 69.89

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Solution

The fourth proportional to 80.25, 119.84 and 69.89 is: 104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.25 : 119.84 = 69.89 : x
  2. Step 2: Convert to fraction form
    80.25/119.84 = 69.89/x
  3. Step 3: Cross multiply
    80.25x = 119.84 × 69.89
  4. Step 4: Simplify right side
    80.25x = 8,374.67
  5. Step 5: Solve for x
    x = 8,374.67/80.25
  6. Step 6: Final answer
    x = 104.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.